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Author:

Zhou, Sha (Zhou, Sha.) | Yu, Tian-Jun (Yu, Tian-Jun.) | Yang, Xiao-Dong (Yang, Xiao-Dong.) (Scholars:杨晓东) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus SCIE

Abstract:

Global dynamics of supercritical pipes conveying pulsating fluid considering superharmonic resonance of the second mode with 1: 2 internal resonance are investigated. The governing partial differential equations in the supercritical regime are obtained based on the nontrivial equilibrium configuration of the pipes conveying fluid and then transformed into a discretized nonlinear gyroscopic system via assumed modes and Galerkin's method. The method of multiple scales and canonical transformation are applied to reduce the equations of motion to the near-integrable Hamiltonian standard form. The energy-phase method is employed to demonstrate the existence of chaotic dynamics by identifying the existence of multi-pulse jumping orbits in the perturbed phase space. The global solutions are subsequently interpreted in terms of the physical motion of such gyroscopic system. Two types of nonlinear normal modal motion and the chaotic pattern conversion between the locked simple bidirectional traveling wave motion and the complex bidirectional traveling wave motion are discussed.

Keyword:

gyroscopic systems nonlinear normal mode pipes conveying fluid supercritical regime chaotic traveling wave motion Global dynamics

Author Community:

  • [ 1 ] [Zhou, Sha]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Yu, Tian-Jun]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 杨晓东

    [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF APPLIED MECHANICS

ISSN: 1758-8251

Year: 2017

Issue: 2

Volume: 9

3 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:165

Cited Count:

WoS CC Cited Count: 42

SCOPUS Cited Count: 45

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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